Affiliations: [1] Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India | [2] Machine Intelligence Institute, Iona College, New Rochelle, NY 10801, USA. E-mails: math.tapan@gmail.com, yager@panix.com
Correspondence:
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Corresponding author.
Abstract: Fermatean fuzzy sets (FFSs), proposed by Senapati and Yager (2019a), can handle uncertain information more easily in the process of decision making. They defined basic operations over the Fermatean fuzzy sets. Here we shall introduce three new operations: subtraction, division, and Fermatean arithmetic mean operations over Fermatean fuzzy sets. We discuss their properties in details. Later, we develop a Fermatean fuzzy weighted product model to solve the multi-criteria decision-making problem. Finally, an illustrative example of selecting a suitable bridge construction method is given to verify the approach developed by us and to demonstrate its practicability and effectiveness.
Keywords: Fermatean fuzzy set, subtraction operation, division operation, Fermatean arithmetic mean operation, multiple criteria decision making (MCDM), weighted product model (WPM)
Journal: Informatica, vol. 30, no. 2, pp. 391-412, 2019
